Search a number
-
+
338382721 is a prime number
BaseRepresentation
bin10100001010110…
…100111110000001
3212120201121211101
4110022310332001
51143111221341
653324414401
711246130355
oct2412647601
9776647741
10338382721
1116400aa46
12953a7401
1355149481
1432d25465
151ea91831
hex142b4f81

338382721 has 2 divisors, whose sum is σ = 338382722. Its totient is φ = 338382720.

The previous prime is 338382703. The next prime is 338382749. The reversal of 338382721 is 127283833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311134321 + 27248400 = 17639^2 + 5220^2 .

It is an emirp because it is prime and its reverse (127283833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338382721 - 221 = 336285569 is a prime.

It is a super-2 number, since 2×3383827212 = 229005731742727682, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338382791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169191360 + 169191361.

It is an arithmetic number, because the mean of its divisors is an integer number (169191361).

Almost surely, 2338382721 is an apocalyptic number.

It is an amenable number.

338382721 is a deficient number, since it is larger than the sum of its proper divisors (1).

338382721 is an equidigital number, since it uses as much as digits as its factorization.

338382721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 338382721 is about 18395.1820050795. The cubic root of 338382721 is about 696.8447933471.

The spelling of 338382721 in words is "three hundred thirty-eight million, three hundred eighty-two thousand, seven hundred twenty-one".